1MA0 Higher June 2015 Paper 2 Q23
23 Here is a parallelogram.
Diagram NOT accurately drawn
\(DC = 7\) cm
\(CB = 5\) cm
Angle \(ABC\) is \(40^\circ\)
Work out the area of the parallelogram.
Give your answer correct to 1 decimal place. (3)
| Answer | Mark | Notes |
|---|---|---|
| 22.5 | 3 | M1 for \(\tfrac{1}{2} \times 7 \times 5 \times \sin 40\) or \(\tfrac{1}{2} \times 7 \times 5 \times \sin(180 - 40)\) M1 (dep M1) for doubling the area of the triangle A1 for 22.4 – 22.5 OR M1 for complete method to find height of parallelogram, eg \(5 \sin 40^\circ\) M1 (dep M1) for complete method to find the area of the parallelogram, eg \(7 \times 5 \sin 40^\circ\) A1 for 22.4 – 22.5 |